Activity Questions 3.2
Question 1
The curve on the surface of the banana as shown in Figure 2 can be described using the equation $y = x^2 + 2x + 4$. An ant (shown in blue color in Figure 2) is walking from one end of the banana to the other end. What will be the x-coordinate of the ant’s location once it reaches the vertex of its path?
This is a multiple choice question with the following options:
- 1
- 0
- -1
- 0.5
Solution
Question 2
Deb and Ananya bought 20 toys together. From these 20 toys, Deb lost 3 toys and Ananya lost 4 toys. Product of the current number of their toys is 42. Can you form an equation for Deb to know how many toys did he have initially? [Let us assume Deb initially had x number of toys.]
This is a multiple choice question with the following equation options:
- $−x^3 + 13x − 4 = 42$
- $19x − 4 = 42$
- $−x^2 + 19x − 48 = 42$
- $x^2 = 42$
Solution
Both questions involve mathematical concepts - the first dealing with quadratic functions and vertex properties, while the second involves forming algebraic equations from word problems.
Question 3
Represent the following problem in the form of an equation: a medicine manufacturer produces y number of vaccines every day. The manufacturing cost of each vaccine is ₹100 plus the number of vaccines manufactured on that day. On a particular day, the total manufacturing cost was ₹10,000. How many vaccines were manufactured on that day?
Multiple choice options:
- $-y^2 + 13y - 4 = 42$
- $19y - 4 = 10000$
- $y^2 + 100y = 10000$
- $y^2 = 100$
Solution
Solution
Context for Questions 5 & 6
Use the following information to answer the questions 5 & 6.
Ananya runs a shop selling books. The profit she makes from her shop is given by the function $P(u) = 100 + 40u - 2u^2$, where u is the amount that she spends on bookbinding.
Solution
Solution
All questions focus on quadratic functions, covering topics like equation formation from word problems, vertex properties, and optimization applications.
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🧠02 Activity Questions 1.1
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03 Activity Questions 1.1
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🧠04 Activity Questions 1.10
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🧠05 Activity Questions 1.11
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🧠06 Activity Questions 1.2
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07 Activity Questions 1.2
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08 Activity Questions 1.3
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